Original Promptcomplete a worksheet with three proofs: prove opposite sides of parallelogram WXYZ
are congruent, prove opposite angles are congruent, and prove the diagonals bisect each
other, each time starting from the definition (parallel sides) and writing every step with
justification.
This resource focuses on the properties of parallelograms, specifically proving that opposite sides and angles are congruent through the use of triangle congruence theorems such as ASA (Angle-Side-Angle) and CPCTC (Corresponding Parts of Congruent Triangles are Congruent). It includes proof scaffolds, worked examples, practice tasks, and check-for-understanding prompts to reinforce the learning objectives. The material is structured to develop a deep understanding of the relationships within parallelograms, utilizing key geometric definitions and theorems. Additionally, there are opportunities for independent practice in proving diagonal properties of parallelograms, enhancing comprehension and application of the subject.